Sharp pixel pattern looking like some sort of fabric.
Source Dmitry
Prismatic Groovy Concentric Background 4 No Black
Source GDJ
A seamless pattern based on a square tile that can be retrieved in Inkscape by selecting the rectangle and using shift-alt-i.
Source Firkin
A mid-tone gray pattern with some cement looking texture.
Source Hendrik Lammers
Here I have tried to create something that would look like maple wood. Not sure how well it's turned out, but at least it looks like wood.
Source V. Hartikainen
White fabric looking texture with some nice random wave features.
Source Hendrik Lammers
No idea what Nistri means, but it’s a crisp little pattern nonetheless.
Source Markus Reiter
The tile this is based on can be had by selecting the rectangle in Inkscape and using shift+alt+i
Source Firkin
One more updated pattern. Not really carbon fiber, but it’s the most popular pattern, so I’ll give you an extra choice.
Source Atle Mo
Super dark, crisp and detailed. And a Kill Bill reference.
Source Badhon Ebrahim
Zero CC tileable grass texture, photographed and made by me. CC0
Source Sojan Janso
Medium gray pattern with small strokes to give a weave effect.
Source Catherine
A beautiful dark wood pattern, superbly tiled.
Source Omar Alvarado
From a drawing in 'Hundert Jahre in Wort und Bild', S. Stefan, 1899.
Source Firkin
Geometric lines are always hot, and this pattern is no exception.
Source Listvetra
Same classic 45-degree pattern, dark version.
Source Luke McDonald
Seamless pattern the tile for which can be had by using shift-alt-I on the selected rectangle in Inkscape.
Source Firkin
Remixed from an image on Pixabay, the original having been uploaded by darkmoon1968.
Source Firkin
Seamless Green Tile Background
Source V. Hartikainen
From a tile that can be had by selecting the rectangle in Inkscape and using shift+alt+i.
Source Firkin
A textured orange background pattern with vertical stripes.
Source V. Hartikainen
Alternative colour scheme. Not a pattern for fabrics, but one produced from a jpg of a stack of fabric items that was posted on Pixabay. The tile that this is based on can be had by selecting the rectangle in Inkscape and using shift+alt+i.
Source Firkin